Mixed nonlocal boundary value problem for implicit fractional differential equation involving both retarded and advanced arguments
نویسندگان
1 Department of Mathematics, Higher Normal School of Technological Education- Skikda, Algeria
doi
10.22075/ijnaa.2022.26751.3403چکیده
In this paper, we investigate the existence and uniqueness of solutions for nonlinear implicit Hilfer-Hadamard fractional differential equations involving both retarded and advanced arguments and nonlocal mixed boundary conditions. We also use the Banach contraction mapping principle and Schaefer’s fixed point theorem to show the existence and uniqueness of solutions. The results obtained here extend the work of Benchohra et al. [10] and Haoues et al. [18]. An example is alsogiven to illustrate the results.
